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Finding the Fourth Proportional to 4,099.78, 6,149.70 and 1,021.78

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Solution

The fourth proportional to 4,099.78, 6,149.70 and 1,021.78 is: 1,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.78 : 6,149.70 = 1,021.78 : x
  2. Step 2: Convert to fraction form
    4,099.78/6,149.70 = 1,021.78/x
  3. Step 3: Cross multiply
    4,099.78x = 6,149.70 × 1,021.78
  4. Step 4: Simplify right side
    4,099.78x = 6,283,640.47
  5. Step 5: Solve for x
    x = 6,283,640.47/4,099.78
  6. Step 6: Final answer
    x = 1,532.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.